# Tangent Segment Problem

**Geometry**Level 4

A right triangle overlapped a circle wherein its center is the same as its vertex of right angle. Line \(AB\) is the hypotenuse and is tangent to the circle and \(D\) is the point of tangency. If \(|DB| = 15\) and \(B\) is \(35^\circ 50'\), what is \(|AD|\)?